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2 answers:
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I'm assuming that the "linear parent function" is . If so:
A. is true.
In fact, the slope of a line written in the form is
, and the line
is given by
C. is true.
Since the origin is the point , if we compute the function at
, we want
. This is quite trivial since
D. is true.
The domain is affected by denominators (they can be zero), even roots (they don't accept negative inputs) and logarithms (they don't accept non-positive inputs). Since this function has none of these three, the domain is all real numbers.
B. is FALSE.
The range of a function is the set of numbers obtained as output, for all possible inputs. Since, in this case, the input and the output are the same thing, if you give a negative input, you will receive the same negative output. So, the range doesn't consist only of positive numbers.
